{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,6]],"date-time":"2025-10-06T17:56:48Z","timestamp":1759773408265,"version":"3.43.0"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1997,5,1]],"date-time":"1997-05-01T00:00:00Z","timestamp":862444800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1997,5,1]],"date-time":"1997-05-01T00:00:00Z","timestamp":862444800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Computer Vision"],"published-print":{"date-parts":[[1997,5]]},"DOI":"10.1023\/a:1007915908780","type":"journal-article","created":{"date-parts":[[2002,12,22]],"date-time":"2002-12-22T07:13:40Z","timestamp":1040541220000},"page":"79-92","source":"Crossref","is-referenced-by-count":22,"title":["Topographical Properties of Generic Images"],"prefix":"10.1007","volume":"23","author":[{"given":"J.H.","family":"Rieger","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"134429_CR1","doi-asserted-by":"crossref","first-page":"845","DOI":"10.1137\/0729052","volume":"29","author":"L. Alvarez","year":"1992","unstructured":"Alvarez, L., Lions, P.-L., and Morel, J.-M. 1992. Image selective smoothing and edge detection by nonlinear diffusion. SIAM J. Numer. Anal., 29:845-866.","journal-title":"SIAM J. Numer. Anal."},{"key":"134429_CR2","volume-title":"Cusps of Gauss Mappings","author":"T. Banchoff","year":"1982","unstructured":"Banchoff, T., Gaffney, T., and McCrory, C. 1982. Cusps of Gauss Mappings. Pitman Research Notes in Math., Vol. 55. Pitman Publ.: Boston-London-Melbourne."},{"key":"134429_CR3","first-page":"647","volume":"39","author":"B. de Champ","year":"1854","unstructured":"Breton de Champ. 1854. Note sur les lignes de fa\u00eete et de thalweg. C. R. Acad. Sc. Paris, 39:647.","journal-title":"C. R. Acad. Sc. Paris"},{"key":"134429_CR4","first-page":"679","volume":"8","author":"J. Canny","year":"1986","unstructured":"Canny, J. 1986. A computational approach to edge detection. IEEE PAMI-8:679-698.","journal-title":"IEEE"},{"key":"134429_CR5","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1006\/jdeq.1995.1019","volume":"115","author":"J. Damon","year":"1995","unstructured":"Damon, J. 1995a. Local Morse theory for solutions to the heat equation and Gaussian blurring. J. Differential Equat., 115:368-401.","journal-title":"J. Differential Equat."},{"key":"134429_CR6","volume-title":"Generic properties of solutions to partial differential equations","author":"J. Damon","year":"1995","unstructured":"Damon, J. 1995b. Generic properties of solutions to partial differential equations. Preprint. Dept. of Mathematics. University of North Carolina: Chapel Hill. To appear in Arch. Rat. Mech. Anal."},{"unstructured":"De Saint-Venant. 6 mars 1852. Surfaces \u00e0 plus grande pente constitu\u00e9es sur des lignes courbes. Bull. de la Soc. Philomath. de Paris.","key":"134429_CR7"},{"key":"134429_CR8","doi-asserted-by":"crossref","first-page":"3743","DOI":"10.1080\/01431169408954356","volume":"15","author":"C. Drewniok","year":"1994","unstructured":"Drewniok, C. 1994. Multi-spectral edge detection: Some experiments on data from Landsat-TM. Int. J. Remote Sensing, 15:3743- 3765.","journal-title":"Int. J. Remote Sensing"},{"key":"134429_CR9","first-page":"262","volume":"14","author":"Dupuis-Torcy","year":"1808","unstructured":"Dupuis-Torcy and Brissot, B. 1808. Sur l'art de projeter les canaux de navigation. J. \u00c9c. Polyt. t. VII, 14:262-288.","journal-title":"J. \u00c9c. Polyt. t. VII"},{"doi-asserted-by":"crossref","unstructured":"Gu\u00e9ziec, A. 1992. Large deformable splines, crest lines and matching. In Proc. 4th ICCV, Berlin, pp. 650-657.","key":"134429_CR10","DOI":"10.1109\/ICCV.1993.378150"},{"key":"134429_CR11","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1112\/blms\/26.1.69","volume":"26","author":"S. Izumiya","year":"1994","unstructured":"Izumiya, S. 1994. Singular solutions of first-order differential equations. Bull. London Math. Soc., 26:69-74.","journal-title":"Bull. London Math. Soc."},{"key":"134429_CR12","first-page":"1457","volume":"74","author":"C. Jordan","year":"1872","unstructured":"Jordan, C. 1872. Sur les lignes de fa\u00eete et de thalweg. C. R. Acad. Sc. Paris 74:1457.","journal-title":"C. R. Acad. Sc. Paris"},{"key":"134429_CR13","first-page":"705","volume":"290","author":"Y. L. Kergosien","year":"1980","unstructured":"Kergosien, Y. L. and Thom, R. 1980. Sur les points paraboliques des surfaces. C. R. Acad. Sc. Paris 290, S\u00e9rie A:705-710.","journal-title":"C. R. Acad. Sc. Paris"},{"key":"134429_CR14","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1007\/BF00337293","volume":"33","author":"J. J. Koenderink","year":"1979","unstructured":"Koenderink, J. J. and van Doorn, A. J. 1979. The structure of two-dimensional scalar fields with applications to vision. Biol. Cybernet., 33:151-158.","journal-title":"Biol. Cybernet."},{"key":"134429_CR15","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1016\/0167-8655(94)90134-1","volume":"15","author":"J. J. Koenderink","year":"1994","unstructured":"Koenderink, J. J. and van Doorn, A. J. 1994. Two-plus-one dimensional differential geometry. Pattern Recogn. Lett., 15:439-443.","journal-title":"Pattern Recogn. Lett."},{"key":"134429_CR16","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/BF01082281","volume":"15","author":"E. E. Landis","year":"1981","unstructured":"Landis, E. E. 1981. Tangential singularities. Functional Anal. Appl., 15:103-114.","journal-title":"Functional Anal. Appl."},{"key":"134429_CR17","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1080\/14786447008640422","volume":"40","author":"J. C. Maxwell","year":"1870","unstructured":"Maxwell, J. C. 1870. On hills and dales. Philos. Magazine 4th Ser. 40:421-425. [See also The Scientific Papers of James Clerk","journal-title":"Philos. Magazine 4th Ser."},{"unstructured":"Maxwell, W. D. Niven (Ed.), Vol. II. 1890. Cambridge University Press: Cambridge, pp. 233-240].","key":"134429_CR18"},{"key":"134429_CR19","volume-title":"Lehrbuch der Darstellenden Geometrie","author":"E. M\u00fcller","year":"1919","unstructured":"M\u00fcller, E. 1919. Lehrbuch der Darstellenden Geometrie, Zweiter Band, Erstes Heft, Zweite Auflage. B. G. Teubner Verlag: Leipzig-Berlin."},{"key":"134429_CR20","doi-asserted-by":"crossref","first-page":"543","DOI":"10.4310\/jdg\/1214430015","volume":"5","author":"I. R. Porteous","year":"1971","unstructured":"Porteous, I. R. 1971. The normal singularities of a submanifold. J. Differential Geom., 5:543-564.","journal-title":"J. Differential Geom."},{"key":"134429_CR21","first-page":"379","volume-title":"Proc. Symposia in Pure Math.","author":"I. R. Porteous","year":"1983","unstructured":"Porteous, I. R. 1983. The normal singularities of surfaces in R\n3. In Proc. Symposia in Pure Math. Vol. 40, Part 2. American Mathematical Society: Providence RI, pp. 379-393."},{"key":"134429_CR22","doi-asserted-by":"crossref","first-page":"497","DOI":"10.1007\/BF00204114","volume":"66","author":"J. H. Rieger","year":"1992","unstructured":"Rieger, J. H. 1992. Generic properties of edges and \u201ccorners\u201d on smooth greyvalue surfaces. Biol. Cybernet., 66:497-502.","journal-title":"Biol. Cybernet."},{"key":"134429_CR23","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1007\/BF01248372","volume":"5","author":"J. H. Rieger","year":"1995","unstructured":"Rieger, J. H. 1995. Generic evolutions of edges on families of diffused greyvalue surfaces. J. Math. Imaging Vision, 5:207-217.","journal-title":"J. Math. Imaging Vision"},{"key":"134429_CR24","first-page":"51","volume":"14","author":"R. Rothe","year":"1915","unstructured":"Rothe, R. 1915. Zum Problem des Talwegs. Sitzungsber. Berliner Mathem. Gesellschaft, 14:51-68.","journal-title":"Sitzungsber. Berliner Mathem. Gesellschaft"},{"key":"134429_CR25","first-page":"147","volume":"8","author":"V. Torre","year":"1986","unstructured":"Torre, V. and Poggio, T. A. 1986. On edge detection. IEEE, PAMI-8:147-163.","journal-title":"IEEE"}],"container-title":["International Journal of Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1007915908780.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1007915908780\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1007915908780.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,11]],"date-time":"2025-08-11T09:31:32Z","timestamp":1754904692000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1007915908780"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,5]]},"references-count":25,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1997,5]]}},"alternative-id":["134429"],"URL":"https:\/\/doi.org\/10.1023\/a:1007915908780","relation":{},"ISSN":["0920-5691","1573-1405"],"issn-type":[{"type":"print","value":"0920-5691"},{"type":"electronic","value":"1573-1405"}],"subject":[],"published":{"date-parts":[[1997,5]]}}}